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Finding the Fourth Proportional to 448.22, 671.66 and 253.14

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Solution

The fourth proportional to 448.22, 671.66 and 253.14 is: 379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.22 : 671.66 = 253.14 : x
  2. Step 2: Convert to fraction form
    448.22/671.66 = 253.14/x
  3. Step 3: Cross multiply
    448.22x = 671.66 × 253.14
  4. Step 4: Simplify right side
    448.22x = 170,024.01
  5. Step 5: Solve for x
    x = 170,024.01/448.22
  6. Step 6: Final answer
    x = 379.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.